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3040132334031 = 3413192323572803
BaseRepresentation
bin101100001111010110000…
…000100000000111001111
3101202122010001100002010000
4230033112000200013033
5344302142334142111
610244341214415343
7432433212316302
oct54172600400717
911678101302100
103040132334031
11a723494a0291
12411246201553
131908b6137410
14a7200cb0b39
1554132b6ac56
hex2c3d60201cf

3040132334031 has 160 divisors (see below), whose sum is σ = 5376212835840. Its totient is φ = 1694000791296.

The previous prime is 3040132334023. The next prime is 3040132334033. The reversal of 3040132334031 is 1304332310403.

3040132334031 is a `hidden beast` number, since 304 + 0 + 1 + 323 + 3 + 4 + 0 + 31 = 666.

It is not a de Polignac number, because 3040132334031 - 23 = 3040132334023 is a prime.

It is a super-2 number, since 2×30401323340312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3040132333986 and 3040132334004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040132334033) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1084598076 + ... + 1084600878.

It is an arithmetic number, because the mean of its divisors is an integer number (33601330224).

Almost surely, 23040132334031 is an apocalyptic number.

3040132334031 is a deficient number, since it is larger than the sum of its proper divisors (2336080501809).

3040132334031 is a wasteful number, since it uses less digits than its factorization.

3040132334031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3040132334031 its reverse (1304332310403), we get a palindrome (4344464644434).

The spelling of 3040132334031 in words is "three trillion, forty billion, one hundred thirty-two million, three hundred thirty-four thousand, thirty-one".

Divisors: 1 3 9 13 19 23 27 39 57 69 81 117 171 207 247 299 351 437 513 621 741 897 1053 1311 1539 1863 2223 2357 2691 2803 3933 5681 6669 7071 8073 8409 11799 17043 20007 21213 24219 25227 30641 35397 36439 44783 51129 53257 54211 63639 64469 75681 91923 109317 134349 153387 159771 162633 190917 193407 227043 275769 327951 403047 460161 479313 487899 580221 582179 692341 704743 827307 838097 983853 1030009 1209141 1224911 1437939 1463697 1740663 1746537 2077023 2114229 2481921 2514291 2951559 3090027 3627423 3674733 4313817 4391091 5221989 5239611 6231069 6342687 6606671 7542873 9270081 11024199 13390117 15718833 15923843 18693207 19028061 19820013 22628619 27810243 33072597 40170351 47156499 47771529 56079621 57084183 59460039 67885857 83430729 85886723 99217791 120511053 125526749 143314587 151953433 178380117 257660169 361533159 376580247 429943761 455860299 535140351 772980507 1084599477 1129740741 1289831283 1367580897 1631847737 1975394629 2318941521 2887115227 3389222223 4102742691 4895543211 5926183887 6956824563 8661345681 10167666669 12308228073 14686629633 17778551661 25984037043 37532497951 44059888899 53335654983 77952111129 112597493853 132179666697 160006964949 233856333387 337792481559 1013377444677 3040132334031